Factoring Binomials and Trinomials

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as x^2 + 5x + 6.

Front

What is the difference of squares?

Back

The difference of squares is a special factoring pattern that states a^2 - b^2 = (a + b)(a - b).

Front

Factor the expression: x^2 - 25

Back

(x + 5)(x - 5)

Front

What is the greatest common factor (GCF)?

Back

The GCF is the largest factor that two or more numbers share.

Front

How do you factor by using GCF?

Back

To factor by GCF, identify the largest factor common to all terms in the expression and factor it out.

Front

Factor the expression: 14g^5 - 21g^7

Back

7g^5(2 - 3g^2)

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants.

Front

Factor the expression: x^2 + 17x - 60

Back

(x + 20)(x - 3)